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<br />Simulated river channel changes are associated with the gradual re- <br />duction of the spatial variation of energy gradient along the channel sub- <br />ject to the physical constraint of rigid banks, That the adjustment in <br />river-channel configuration is closely related to the change in power ex- <br />penditure can be illustrated by the sequential changes of cross-sectional <br />profile at Section 51 as shown in Fig. 9. Because it is an initial sand ridge <br />(see Fig. 7), the energy gradient at this section is initially much greater <br />than those of its adjacent sections. This pronounced spatial variation in <br />energy gradient is reduced through gully erosion at this section and <br />deposition at the adjacent sections. The gully which is small in width <br />and has a low channel-bed elevation provides the least possible flow <br />resistance and therefore lowest energy gradient at this section; it also <br />reduces the back-water effect on the upstream section where the energy <br />gradient is therefore increased. At subsequent time intervals, the energy <br />gradient at Section 51 becomes less than its adjacent sections. Cross- <br />sectional changes at this section then include widening in channel width <br />and aggradation in the gully. These changes are accompanied by in- <br />creases in boundary resistance and energy gradient at this section, fa- <br />voring the establishment of equal energy gradient along the reach. This <br />pattern of river channel changes, characterized by the formation of nar- <br />row ~hannel width during channel-bed degradation and widening dur- <br />ing aggradation, is evident in nature and has been reported in the lit- <br />erature (4,5,11,13,15). <br />Changes in Sediment and Hydraulic Parameters.-That flood- and <br />sediment-routing in erodible channels is closely related to river-channel <br />changes may be illustrated by the time and spatial variations of the ve- <br />locity and sediment load shown in Fig. 7 at the peaks of the first and <br />the second flood. The pronounced spatial variations in velocity and sed- <br />iment load at the first peak flood are associated with the uneven river <br />channel configuration dotted with borrow pits within which velocities <br />and sediment loads are substantially lower. Changes in the river channel <br />are such that they provide the mechanism to establish the dynamic equi- <br />librium of sediment transport, that is, equal sediment load along the <br />river reach. As shown, the spatial variation of sediment load is gradually <br />reduced during the second flood. The same general trend may also be <br />stated for the spatial variations in velocity and energy gradient. The slightly <br />lower velocity at the bridge crossing is due to the additional flow resis- <br />tance of bridge piers. <br />Variations of sediment size due to hydrauliC sorting as simulated are <br />not pronounced for this river reach. Certain trends can still be recog- <br />nized, including coarsening of the material during scour and reduction <br />in size during deposition. Channel widening through bank erosion brings <br />finer bank materials into the channel and hence contributes to a reduc- <br />tion in sediment size. <br />Water-Surface Profiles.-The water-surface profile at the peak flood <br />obtained using the FLUVIAL-11 model is compared with that obtained <br />using the fixed-bed model HEC-2 in Fig. 7. The HEC-2 profile which is <br />based upon the initial river-channel configuration indicates critical flow <br />at Sections 46, 51, and 60, and subcritical flow at remaining sections, <br />while the FLUVIAL-11 model predicts subcritical flow for the entire reach. <br />The HEC-2 water-surface profile is highly uneven; the higher water-sur- <br /> <br />169 <br /> <br />18 <br />